basic respect I give anyone else as common curtesy to human beings in general? Yeah, sure, they get that.
Some sort of advanced respect based solely on the job they have rather then individual characteristics that merit such respect being given? Gonna go with "no"
I am sorry if people disagree, but I don't give a shit what your job title is, you are not your job title, and even if you are the president, you will not be given any more base respect then a homeless man on the street in my eyes.
Now I can look at the person, go to myself "well, they are in the military, therefore they might have skills worthy of respect, training and physical ability worth respecting or capacity and talent in their field to merit respect. But then again, knowing nothing else, I know some people can slip through the system and get in the military who are terrible people with nothing redeeming about them too. So to that effect, I find it far more wiser to just given everyone a base about of respect for human dignity and let them determine for themselves if they get more by their actions and so on.
Honestly, I don't get why anyone would give the military, police, firefighters or anyone else extra respect just for the job title. If they saved someone from a burning building or single handily shot down 6 armed gunmen to save a family, then their actions gets them much respect, but since anyone could theoretically do that (even if astronomically far less likely for say, a mcdonalds fry cook to take down that many armed gunmen), I wouldn't treat someone better because they have a higher chance of doing something worthy of respect. Either you do it or you don't, not going to bank on the job title that you'll get around to it...
as a side note, I suppose someone could actively hate the military just as easily as respect it. I've heard it described as very close to selling your soul to be a government killer at times and while far from the norm or the truth, there is a sort of logic about being questionable to someone who lets the interests of a national military dictate who they think it is ok to kill. But this sort of reason is the flip side of why I don't disrespect anyone just because of job title either. people are individuals, they earn or lose respect for their own actions. Jobs are sort of secondary, and even if you might be more likely to do something bad ass or save lives in one profession over another, it doesn't mean you should get props for it until you do.